Question

The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is ______.

Options

• 4 sq.units

• `3/2` sq units

• 6 sq.units

• 8 sq.units

Answer 1

The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is 6 sq.units.

Explanation:

Given equations of lines are x = 2y + 3, y = 1 and y = –1

Required area = `int_-1^1 (2y + 3)  "d"y`

= `2 * 1/2 [y^2]_-1^1 + 3[y]_-1^1`

= `(1 - 1) + 3(1 + 1)`

= 6 sq.units